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Proof step 25 from proof add-preserves-reachable (previous step)

H[r1].nxt = H[ce.nxt].nxt, path(H[r1].nxt ' + x0, H), reachable(H[r1].nxt, r1, H), r1 ∈ H, ce.nxt ∈ H, ∃ x. path(H[r1].nxt ' + x, H[r1, ce]) ∧ (H[r1].nxt ' + x).last = (H[r1].nxt ' + x0).last ⊦ ce.nxt = null, r1 = null, reachable(r1, ce.nxt, H), ∃ x. path(r1 ' + x, H[r1, ce]) ∧ (r1 ' + x).last = (H[r1].nxt ' + x0).last

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
(H[r1].nxt ' + x).last = (H[r1].nxt ' + x0).last, H[r1].nxt = H[ce.nxt].nxt, path(H[r1].nxt ' + x, H[r1, ce]), path(H[r1].nxt ' + x0, H), reachable(H[r1].nxt, r1, H), ce.nxt ∈ H, r1 ∈ H ⊦ ce.nxt = null, r1 = null, reachable(r1, ce.nxt, H), ∃ x. path(r1 ' + x, H[r1, ce]) ∧ (r1 ' + x).last = (H[r1].nxt ' + x0).last

Proof step 25 from proof add-preserves-reachable (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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